Requirements for a loophole-free photonic Bell test using imperfect setting generators

Abstract

Experimental violations of Bell inequalities are in general vulnerable to so-called "loopholes." In this work, we analyse the characteristics of a loophole-free Bell test with photons, closing simultaneously the locality, freedom-of-choice, fair-sampling (i.e. detection), coincidence-time, and memory loopholes. We pay special attention to the effect of excess predictability in the setting choices due to non-ideal random number generators. We discuss necessary adaptations of the CH/Eberhard inequality when using such imperfect devices and -- using Hoeffding's inequality and Doob's optional stopping theorem -- the statistical analysis in such Bell tests.

11 pages, published version

References in corpus (14)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Bell inequality violation with two remote atomic qubits
• Loopholes in Bell Inequality Tests of Local Realism
• Ultra-fast quantum randomness generation by accelerated phase diffusion in a pulsed laser diode
• The Two Bell's Theorems of John Bell
• Generation of fresh and pure random numbers for loophole-free Bell tests
• Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
• A Robust Mathematical Model for Clauser-Horne Experiments, With Implications for Rigorous Statistical Analysis
• Strong experimental guarantees in ultrafast quantum random number generation
• An On-Demand Optical Quantum Random Number Generator with In-Future Action and Ultra-Fast Response
• On the equivalence of Clauser-Horne and Eberhard inequality based tests
• Bell Inequalities for Continuously Emitting Sources

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